Finite Group Databasebeta

← #13526621

Subgroups — #13526621

Order 1792.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2444C211yesmaximal, characteristic, complemented
2#11740147C211yesmaximal, characteristic
3#11740144C211yesmaximal, characteristic, complemented
4C4×#6500C211yesmaximal, characteristic, complemented
5#11739800C211yesmaximal, characteristic, complemented
6#11735798C211yesmaximal, characteristic, complemented
7#11735663C211yesmaximal, characteristic, complemented
8#11735125C211yesmaximal, characteristic, complemented
9#11735006C211yesmaximal, characteristic, complemented
10#11734995C211yesmaximal, characteristic, complemented
11#11734925C211yesmaximal, characteristic, complemented
12#11734431C211yesmaximal, characteristic, complemented
13#11734370C211yesmaximal, characteristic, complemented
14#11733270C211yesmaximal, characteristic, complemented
15#11733005C211yesmaximal, characteristic, complemented
16#11732745C211yesmaximal, characteristic, complemented
17#11732481C211yesmaximal, characteristic, complemented
18#11732321C211yesmaximal, characteristic, complemented
19D7×#386C211yesmaximal, characteristic, complemented
20#11732315C211yesmaximal, characteristic, complemented
21#11732314C211yesmaximal, characteristic, complemented
22#11732184C211yesmaximal, characteristic, complemented
23#11732167C211yesmaximal, characteristic, complemented
24#11732135C211yesmaximal, characteristic, complemented
25#11732131C211yesmaximal, characteristic, complemented
26#11732033C211yesmaximal, characteristic, complemented
27#11731858C211yesmaximal, characteristic, complemented
28#11731565C211yesmaximal, characteristic, complemented
29#11731515C211yesmaximal, characteristic, complemented
30#11730801C211yesmaximal, characteristic, complemented
31C2×#89438C211yesmaximal, characteristic, complemented
32C22×D4×D7C2211yescharacteristic
33C23×C4×D7C2211yescharacteristic
34C2×C7×#121C2211yescharacteristic
35C2×C4×C7×D4C2211yescharacteristic, complemented
36C2×#6502C2211yescharacteristic
37C2×#6500C2211yescharacteristic
38C2×#6500C2211yescharacteristic
39C2×#6498C2211yescharacteristic
40C2×#6498C2211yescharacteristic, complemented
41C2×C4×C22⋊D7C2211yescharacteristic
42C2×C4×C22⋊D7C2211yescharacteristic, complemented
43C22×(C2×D7)⋊C4C2211yescharacteristic
44C22×(C2×D7)⋊C4C2211yescharacteristic
45C22×C4×Dic7C2211yescharacteristic, complemented
46C22×C4×Dic7C2211yescharacteristic, complemented
47C2×#6460C2211yescharacteristic
48C2×#6449C2211yescharacteristic
49C2×#6448C2211yescharacteristic, complemented
50C2×D7×C22⋊C4C2211yescharacteristic
51C2×D7×C22⋊C4C2211yescharacteristic
52C2×D7×C22⋊C4C2211yescharacteristic
53C2×#6442C2211yescharacteristic, complemented
54C2×#6441C2211yescharacteristic, complemented
55C7×#400C2211yescharacteristic, complemented
56C7×#397C2211yescharacteristic, complemented
57C7×#397C2211yescharacteristic, complemented
58C7×#394C2211yescharacteristic, complemented
59C7×#388C2211yescharacteristic, complemented
60C7×#387C2211yescharacteristic, complemented
61C7×#386C2211yescharacteristic
62C7×#386C2211yescharacteristic
63C7×#386C2211yescharacteristic, complemented
64C7×#386C2211yescharacteristic, complemented
65C7×#385C2211yescharacteristic, complemented
66C7×#381C2211yescharacteristic, complemented
67C2×C7×#95C2211yescharacteristic, complemented
68#89995C2211yescharacteristic
69#89993C2211yescharacteristic, complemented
70#89993C2211yescharacteristic, complemented
71#89992C2211yescharacteristic
72#89992C2211yescharacteristic
73#89992C2211yescharacteristic, complemented
74#89985C2211yescharacteristic
75#89985C2211yescharacteristic
76#89985C2211yescharacteristic
77#89985C2211yescharacteristic, complemented
78#89984C2211yescharacteristic, complemented
79#89984C2211yescharacteristic, complemented
80#89982C2211yescharacteristic, complemented
81C4×C22⋊Dic7C2211yescharacteristic, complemented
82C2×C7⋊#95C2211yescharacteristic, complemented
83#89766C2211yescharacteristic, complemented
84#89766C2211yescharacteristic, complemented
85#89766C2211yescharacteristic, complemented
86#89763C2211yescharacteristic
87#89762C2211yescharacteristic, complemented
88#89762C2211yescharacteristic, complemented
89#89761C2211yescharacteristic
90#89761C2211yescharacteristic
91#89761C2211yescharacteristic, complemented
92#89759C2211yescharacteristic
93#89755C2211yescharacteristic, complemented
94#89753C2211yescharacteristic, complemented
95#89753C2211yescharacteristic, complemented
96#89745C2211yescharacteristic, complemented
97#89745C2211yescharacteristic, complemented
98#89733C2211yescharacteristic
99#89733C2211yescharacteristic
100#89733C2211yescharacteristic, complemented
101#89732C2211yescharacteristic
102#89731C2211yescharacteristic
103#89731C2211yescharacteristic, complemented
104#89731C2211yescharacteristic, complemented
105#89730C2211yescharacteristic
106#89729C2211yescharacteristic, complemented
107#89728C2211yescharacteristic
108#89728C2211yescharacteristic
109#89728C2211yescharacteristic
110#89728C2211yescharacteristic
111#89728C2211yescharacteristic
112#89728C2211yescharacteristic
113#89728C2211yescharacteristic, complemented
114#89727C2211yescharacteristic
115#89727C2211yescharacteristic
116#89727C2211yescharacteristic
117#89727C2211yescharacteristic
118#89725C2211yescharacteristic, complemented
119#89724C2211yescharacteristic, complemented
120#89723C2211yescharacteristic, complemented
121#89723C2211yescharacteristic, complemented
122#89723C2211yescharacteristic, complemented
123#89722C2211yescharacteristic, complemented
124#89719C2211yescharacteristic, complemented
125#89718C2211yescharacteristic, complemented
126#89717C2211yescharacteristic, complemented
127#89716C2211yescharacteristic, complemented
128#89716C2211yescharacteristic, complemented
129#89716C2211yescharacteristic, complemented
130#89716C2211yescharacteristic, complemented
131#89716C2211yescharacteristic, complemented
132#89716C2211yescharacteristic, complemented
133#89716C2211yescharacteristic, complemented
134#89715C2211yescharacteristic, complemented
135#89712C2211yescharacteristic, complemented
136C4×(C2×D7)⋊C4C2211yescharacteristic
137C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
138#89700C2211yescharacteristic, complemented
139#89449C2211yescharacteristic, complemented
140#89447C2211yescharacteristic, complemented
141#89447C2211yescharacteristic, complemented
142#89447C2211yescharacteristic, complemented
143#89446C2211yescharacteristic, complemented
144#89445C2211yescharacteristic, complemented
145#89444C2211yescharacteristic
146#89444C2211yescharacteristic
147#89442C2211yescharacteristic, complemented
148#89442C2211yescharacteristic, complemented
149#89441C2211yescharacteristic, complemented
150#89441C2211yescharacteristic, complemented
151#89441C2211yescharacteristic, complemented
152#89441C2211yescharacteristic, complemented
153#89440C2211yescharacteristic
154#89440C2211yescharacteristic
155#89440C2211yescharacteristic
156#89440C2211yescharacteristic
157#89439C2211yescharacteristic
158#89439C2211yescharacteristic
159#89438C2211yescharacteristic
160#89438C2211yescharacteristic
161#89438C2211yescharacteristic
162#89438C2211yescharacteristic
163#89438C2211yescharacteristic, complemented
164#89438C2211yescharacteristic, complemented
165#89438C2211yescharacteristic, complemented
166#89438C2211yescharacteristic, complemented
167#89437C2211yescharacteristic
168#89437C2211yescharacteristic
169D7×#95C2211yescharacteristic
170D7×#95C2211yescharacteristic
171C7⋊#401C2211yescharacteristic, complemented
172#89432C2211yescharacteristic, complemented
173#89432C2211yescharacteristic, complemented
174#89430C2211yescharacteristic, complemented
175#89427C2211yescharacteristic, complemented
176#89427C2211yescharacteristic, complemented
177#89427C2211yescharacteristic, complemented
178#89426C2211yescharacteristic, complemented
179#89425C2211yescharacteristic, complemented
180#89424C2211yescharacteristic, complemented
181#89423C2211yescharacteristic, complemented
182#89423C2211yescharacteristic, complemented
183#89422C2211yescharacteristic, complemented
184#89422C2211yescharacteristic, complemented
185#89418C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#34998—71nomaximal, Sylow
188C24×D7C2311yescharacteristic
189C24×D7C2311yescharacteristic
190C22×C7×D4C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C23×C4×C7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C23×Dic7C2311yescharacteristic
203C23×Dic7C2311yescharacteristic
204C23×Dic7C2311yescharacteristic
205C2×D4×D7—24no—
206C2×D4×D7—42no—
207C2×D4×D7—42no—
208C22×D28C2311yescharacteristic
209C22×C4×D7—24no—
210C22×C4×D7—42no—
211C22×C4×D7—42no—
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×C4×D7C2311yescharacteristic
216C22×C4×D7C2311yescharacteristic
217C22×C4×D7C2311yescharacteristic
218C22×C4×D7C2311yescharacteristic
219C22×Dic14C2311yescharacteristic
220C7×#121—42no—
221C4×C7×D4—42no—
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C4⋊C4C2311yescharacteristic
224C2×C7×C4⋊C4C2311yescharacteristic
225C2×C7×C4⋊C4C2311yescharacteristic
226C2×C7×C22⋊C4C2311yescharacteristic
227C2×C7×C22⋊C4C2311yescharacteristic
228C2×C7×C22⋊C4C2311yescharacteristic
229C2×C7×C22⋊C4C2311yescharacteristic
230C2×C7×C22⋊C4C2311yescharacteristic
231C2×C7×C22⋊C4C2311yescharacteristic
232C2×C7×C22⋊C4C2311yescharacteristic
233C2×C7×C22⋊C4C2311yescharacteristic
234C2×C7×C22⋊C4C2311yescharacteristic
235C2×C7×C22⋊C4C2311yescharacteristic
236C2×C7×C22⋊C4C2311yescharacteristic
237C2×C42×C7C2311yescharacteristic
238C2×C22⋊Dic7C2311yescharacteristic
239C2×C22⋊Dic7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249C2×C22⋊Dic7C2311yescharacteristic
250C2×C22⋊Dic7C2311yescharacteristic
251C2×C22⋊Dic7C2311yescharacteristic
252#6502—42no—
253#6500—24no—
254#6500—24no—
255#6498—42no—
256#6498—42no—
257C4×C22⋊D7—24no—
258C4×C22⋊D7—42no—
259C2×(C2×D7)⋊C4—24no—
260C2×(C2×D7)⋊C4—24no—
261C2×(C2×D7)⋊C4C2311yescharacteristic
262C2×(C2×D7)⋊C4C2311yescharacteristic
263C2×(C2×D7)⋊C4C2311yescharacteristic
264C2×(C2×D7)⋊C4C2311yescharacteristic
265C2×(C2×D7)⋊C4C2311yescharacteristic
266C2×(C2×D7)⋊C4C2311yescharacteristic
267C2×(C2×D7)⋊C4C2311yescharacteristic
268C2×(C2×D7)⋊C4C2311yescharacteristic
269C2×(C2×D7)⋊C4C2311yescharacteristic
270C2×(C2×D7)⋊C4C2311yescharacteristic
271C2×(C2×D7)⋊C4C2311yescharacteristic
272C2×(C2×D7)⋊C4C2311yescharacteristic
273C2×(C2×D7)⋊C4C2311yescharacteristic
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
277C2×(C2×D7)⋊C4C2311yescharacteristic
278C2×(C2×D7)⋊C4C2311yescharacteristic
279C2×(C2×D7)⋊C4C2311yescharacteristic
280C2×(C2×D7)⋊C4C2311yescharacteristic
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×(C2×D7)⋊C4C2311yescharacteristic
283C2×(C2×D7)⋊C4C2311yescharacteristic
284C2×(C2×D7)⋊C4C2311yescharacteristic
285C2×(C2×D7)⋊C4C2311yescharacteristic
286C2×(C2×D7)⋊C4C2311yescharacteristic
287C2×(C2×D7)⋊C4C2311yescharacteristic
288C2×C4⋊Dic7C2311yescharacteristic
289C2×C4⋊Dic7C2311yescharacteristic
290C2×C4⋊Dic7C2311yescharacteristic
291C2×C4⋊Dic7C2311yescharacteristic
292C2×C4⋊Dic7C2311yescharacteristic
293C2×C4⋊Dic7C2311yescharacteristic
294C2×C4⋊Dic7C2311yescharacteristic
295C2×Dic7⋊C4C2311yescharacteristic
296C2×Dic7⋊C4C2311yescharacteristic
297C2×Dic7⋊C4C2311yescharacteristic
298C2×Dic7⋊C4C2311yescharacteristic
299C2×Dic7⋊C4C2311yescharacteristic
300C2×Dic7⋊C4C2311yescharacteristic
301C2×Dic7⋊C4C2311yescharacteristic
302C2×Dic7⋊C4C2311yescharacteristic
303C2×Dic7⋊C4C2311yescharacteristic
304C2×Dic7⋊C4C2311yescharacteristic
305C2×Dic7⋊C4C2311yescharacteristic
306C2×C4×Dic7—42no—
307C2×C4×Dic7—42no—
308C2×C4×Dic7C2311yescharacteristic
309C2×C4×Dic7C2311yescharacteristic
310C2×C4×Dic7C2311yescharacteristic
311C2×C4×Dic7C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318#6460—24no—
319#6449—42no—
320#6448—42no—
321D7×C22⋊C4—24no—
322D7×C22⋊C4—42no—
323D7×C22⋊C4—42no—
324#6442—42no—
325#6441—42no—
326C7×#95C2311yescharacteristic
327C7×#95C2311yescharacteristic
328C7×#95C2311yescharacteristic
329C7×#95C2311yescharacteristic
330C7×#95C2311yescharacteristic
331C7×#95C2311yescharacteristic
332C7×#95C2311yescharacteristic
333C7×#95C2311yescharacteristic
334C7×#95C2311yescharacteristic
335C7×#95C2311yescharacteristic
336C7×#95C2311yescharacteristic
337C7×#95C2311yescharacteristic
338C7⋊#95C2311yescharacteristic
339C7⋊#95C2311yescharacteristic
340C7⋊#95C2311yescharacteristic
341C7⋊#95C2311yescharacteristic
342C7⋊#95C2311yescharacteristic
343C7⋊#95C2311yescharacteristic
344C7⋊#95C2311yescharacteristic
345C7⋊#95C2311yescharacteristic
346C7⋊#95C2311yescharacteristic
347C7⋊#95C2311yescharacteristic
348C7⋊#95C2311yescharacteristic
349C7⋊#95C2311yescharacteristic
350C7⋊#95C2311yescharacteristic
351C7⋊#95C2311yescharacteristic
352C7⋊#95C2311yescharacteristic
353C7⋊#95C2311yescharacteristic
354C7⋊#95C2311yescharacteristic
355C7⋊#95C2311yescharacteristic
356C7⋊#95C2311yescharacteristic
357C7⋊#95C2311yescharacteristic
358C7⋊#95C2311yescharacteristic
359C7⋊#95C2311yescharacteristic
360C7⋊#95C2311yescharacteristic
361C7⋊#95C2311yescharacteristic
362C7⋊#95C2311yescharacteristic
363C7⋊#95C2311yescharacteristic
364C7⋊#95C2311yescharacteristic
365C7⋊#95C2311yescharacteristic
366C7⋊#95C2311yescharacteristic
367C7⋊#95C2311yescharacteristic
368C7⋊#95C2311yescharacteristic
369C7⋊#95C2311yescharacteristic
370#2854—71no—
371#2853—71no—
372#2852—71no—
373#2850—71no—
374#2653—71no—
375#2649—71no—
376#2648—71no—
377#2648—71no—
378#2518—71no—
379#2518—71no—
380#2510—71no—
381#2510—71no—
382#2505—71no—
383#2488—71no—
384#2480—71no—
385#2472—71no—
386#2467—71no—
387#2459—71no—
388#2444D711yescharacteristic, complemented
389#2437—71no—
390#2425—71no—
391#2412—71no—
392#2410—71no—
393#2405—71no—
394#2329—71no—
395#2321—71no—
396#2318—71no—
397#2312—71no—
398C4×#120—71no—
399C2×#386—71no—
400C2×C4×C22⋊C4—71no—
401C24×C7C2411yescharacteristic
402C24×C7C2411yescharacteristic
403C24×C7C2411yescharacteristic
404C23×D7—22no—
405C23×D7—22no—
406C23×D7—22no—
407C23×D7—22no—
408C23×D7—22no—
409C23×D7—22no—
410C23×D7—22no—
411C23×D7—41no—
412C23×D7—41no—
413C23×D7—41no—
414C23×D7—41no—
415C23×D7—41no—
416C23×D7—41no—
417C23×D7#4114yes—
418C23×D7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C23×D7C2411yescharacteristic
421C2×C7×D4—22no—
422C2×C7×D4—22no—
423C2×C7×D4—22no—
424C2×C7×D4—22no—
425C2×C7×D4—22no—
426C2×C7×D4—22no—
427C2×C7×D4—22no—
428C2×C7×D4—41no—
429C2×C7×D4—41no—
430C22×C4×C7—22no—
431C22×C4×C7—22no—
432C22×C4×C7—22no—
433C22×C4×C7—22no—
434C22×C4×C7—22no—
435C22×C4×C7—22no—
436C22×C4×C7—41no—
437C22×C4×C7—41no—
438C22×C4×C7—41no—
439C22×C4×C7—41no—
440C22×C4×C7—41no—
441C22×C4×C7—41no—
442C22×C4×C7C2411yescharacteristic
443C22×C4×C7C2411yescharacteristic
444C22×C4×C7C2411yescharacteristic
445C22×C4×C7C2411yescharacteristic
446C22×C4×C7C2411yescharacteristic
447C22×C4×C7C2411yescharacteristic
448C22×C4×C7C2411yescharacteristic
449C22×C4×C7C2411yescharacteristic
450C22×C4×C7C2411yescharacteristic
451C22×C4×C7C2411yescharacteristic
452C22×C4×C7C2411yescharacteristic
453C22×C4×C7C2411yescharacteristic
454C2×C22⋊D7—22no—
455C2×C22⋊D7—22no—
456C2×C22⋊D7—22no—
457C2×C22⋊D7—22no—
458C2×C22⋊D7—22no—
459C2×C22⋊D7—22no—
460C2×C22⋊D7—22no—
461C2×C22⋊D7—22no—
462C2×C22⋊D7—22no—
463C2×C22⋊D7—41no—
464C2×C22⋊D7—41no—
465C2×C22⋊D7—41no—
466C2×C22⋊D7—41no—
467C2×C22⋊D7—41no—
468C2×C22⋊D7—41no—
469C22×Dic7—22no—
470C22×Dic7—22no—
471C22×Dic7—22no—
472C22×Dic7—22no—
473C22×Dic7—22no—
474C22×Dic7—22no—
475C22×Dic7—22no—
476C22×Dic7—22no—
477C22×Dic7—41no—
478C22×Dic7C2411yescharacteristic
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481C22×Dic7C2411yescharacteristic
482C22×Dic7C2411yescharacteristic
483C22×Dic7C2411yescharacteristic
484C22×Dic7C2411yescharacteristic
485C22×Dic7C2411yescharacteristic
486C22×Dic7C2411yescharacteristic
487C22×Dic7C2411yescharacteristic
488C22×Dic7C2411yescharacteristic
489C22×Dic7C2411yescharacteristic
490C22×Dic7C2411yescharacteristic
491D4×D7—416no—
492C2×D28—22no—
493C2×D28—41no—
494C2×D28—41no—
495C2×C4×D7—22no—
496C2×C4×D7—22no—
497C2×C4×D7—22no—
498C2×C4×D7—22no—
499C2×C4×D7—22no—
500C2×C4×D7—22no—
501C2×C4×D7—22no—
502C2×C4×D7—22no—
503C2×C4×D7—41no—
504C2×C4×D7—41no—
505C2×C4×D7—41no—
506C2×C4×D7—41no—
507C2×C4×D7—41no—
508C2×C4×D7—41no—
509C2×C4×D7—41no—
510C2×C4×D7—41no—
511C2×C4×D7—416no—
512C2×C4×D7—41no—
513C2×C4×D7—41no—
514C2×C4×D7—41no—
515C2×C4×D7—41no—
516C2×C4×D7#4114yes—
517C2×Dic14—22no—
518C2×Dic14—41no—
519C2×Dic14—41no—
520C7×C4⋊C4—22no—
521C7×C4⋊C4—41no—
522C7×C4⋊C4—41no—
523C7×C4⋊C4—41no—
524C7×C22⋊C4—22no—
525C7×C22⋊C4—22no—
526C7×C22⋊C4—22no—
527C7×C22⋊C4—41no—
528C7×C22⋊C4—41no—
529C7×C22⋊C4—41no—
530C7×C22⋊C4—41no—
531C7×C22⋊C4—41no—
532C7×C22⋊C4—41no—
533C7×C22⋊C4—41no—
534C7×C22⋊C4—41no—
535C42×C7—41no—
536C22⋊Dic7—22no—
537C22⋊Dic7—22no—
538C22⋊Dic7—22no—
539C22⋊Dic7—22no—
540C22⋊Dic7—22no—
541C22⋊Dic7—22no—
542C22⋊Dic7—22no—
543C22⋊Dic7—22no—
544C22⋊Dic7—41no—
545C22⋊Dic7—41no—
546C22⋊Dic7—41no—
547C22⋊Dic7—41no—
548C22⋊Dic7—41no—
549C22⋊Dic7—41no—
550(C2×D7)⋊C4—22no—
551(C2×D7)⋊C4—22no—
552(C2×D7)⋊C4—22no—
553(C2×D7)⋊C4—22no—
554(C2×D7)⋊C4—22no—
555(C2×D7)⋊C4—22no—
556(C2×D7)⋊C4—22no—
557(C2×D7)⋊C4—22no—
558(C2×D7)⋊C4—22no—
559(C2×D7)⋊C4—22no—
560(C2×D7)⋊C4—22no—
561(C2×D7)⋊C4—22no—
562(C2×D7)⋊C4—22no—
563(C2×D7)⋊C4—22no—
564(C2×D7)⋊C4—22no—
565(C2×D7)⋊C4—41no—
566(C2×D7)⋊C4—41no—
567(C2×D7)⋊C4—41no—
568(C2×D7)⋊C4—41no—
569(C2×D7)⋊C4—41no—
570(C2×D7)⋊C4—41no—
571(C2×D7)⋊C4—41no—
572(C2×D7)⋊C4—41no—
573(C2×D7)⋊C4—41no—
574(C2×D7)⋊C4—41no—
575(C2×D7)⋊C4—41no—
576(C2×D7)⋊C4#4114yes—
577C4⋊Dic7—22no—
578C4⋊Dic7—22no—
579C4⋊Dic7—41no—
580C4⋊Dic7—41no—
581C4⋊Dic7—41no—
582C4⋊Dic7—41no—
583C4⋊Dic7—41no—
584Dic7⋊C4—22no—
585Dic7⋊C4—22no—
586Dic7⋊C4—41no—
587Dic7⋊C4—41no—
588Dic7⋊C4—41no—
589Dic7⋊C4—41no—
590Dic7⋊C4—41no—
591Dic7⋊C4—41no—
592Dic7⋊C4—41no—
593Dic7⋊C4—41no—
594Dic7⋊C4—41no—
595C4×Dic7—22no—
596C4×Dic7—22no—
597C4×Dic7—22no—
598C4×Dic7—41no—
599C4×Dic7—41no—
600C4×Dic7—41no—
601C4×Dic7—41no—
602C4×Dic7—41no—
603C4×Dic7—41no—
604C4×Dic7—41no—
605C23×D4—71no—
606C24×C4—71no—
607C2×#126—71no—
608C2×#124—71no—
609C2×#123—71no—
610C2×#123—71no—
611C2×#123—71no—
612C2×C22⋊Q8—71no—
613C2×C22⋊Q8—71no—
614C2×#121—71no—
615C2×#121C2×D711yescharacteristic
616C2×#120—71no—
617C2×#120—71no—
618C2×C4×D4—71no—
619C2×C4×D4—71no—
620C2×C4×D4C2×D711yescharacteristic, complemented
621C22×C22⋊C4—71no—
622C22×C22⋊C4—71no—
623C22×C22⋊C4—71no—
624C22×C22⋊C4—71no—
625C22×C22⋊C4—71no—
626C22×C42—71no—
627C22×C42—71no—
628#401—71no—
629#400—71no—
630#400—71no—
631#400—71no—
632#400C2×D711yescharacteristic, complemented
633#399—71no—
634#398—71no—
635#397—71no—
636#397—71no—
637#397—71no—
638#397—71no—
639#397—71no—
640#397—71no—
641#397C2×D711yescharacteristic, complemented
642#397C2×D711yescharacteristic, complemented
643#396—71no—
644#396—71no—
645#396—71no—
646#394—71no—
647#394—71no—
648#394—71no—
649#394—71no—
650#394—71no—
651#394—71no—
652#394—71no—
653#394—71no—
654#394—71no—
655#394C2×D711yescharacteristic, complemented
656#393—71no—
657#393—71no—
658#392—71no—
659#392—71no—
660#391—71no—
661#391—71no—
662#390—71no—
663#390—71no—
664#390—71no—
665#389—71no—
666#389—71no—
667#389—71no—
668#388—71no—
669#388—71no—
670#388—71no—
671#388—71no—
672#388—71no—
673#388—71no—
674#388—71no—
675#388—71no—
676#388—71no—
677#388—71no—
678#388—71no—
679#388—71no—
680#388—71no—
681#388—71no—
682#388—71no—
683#388—71no—
684#388—71no—
685#388—71no—
686#388—71no—
687#388—71no—
688#388C2×D711yescharacteristic, complemented
689#387—71no—
690#387—71no—
691#387—71no—
692#387—71no—
693#387—71no—
694#387—71no—
695#387—71no—
696#387—71no—
697#387C2×D711yescharacteristic, complemented
698#386—71no—
699#386—71no—
700#386—71no—
701#386—71no—
702#386—71no—
703#386—71no—
704#386—71no—
705#386—71no—
706#386—71no—
707#386—71no—
708#386—71no—
709#386—71no—
710#386—71no—
711#386—71no—
712#386—71no—
713#386—71no—
714#386—71no—
715#386C2×D711yescharacteristic
716#386C2×D711yescharacteristic
717#386C2×D711yescharacteristic, complemented
718#386C2×D711yescharacteristic, complemented
719#385—71no—
720#385—71no—
721#385—71no—
722#385—71no—
723#385—71no—
724#385—71no—
725#385—71no—
726#385—71no—
727#385—71no—
728#385—71no—
729#385C2×D711yescharacteristic, complemented
730#383—71no—
731#383—71no—
732#382—71no—
733#382—71no—
734#381—71no—
735#381C2×D711yescharacteristic, complemented
736#380—71no—
737#380—71no—
738#380—71no—
739#380—71no—
740#380—71no—
741#379—71no—
742#379—71no—
743#379—71no—
744#379—71no—
745C4×C22⋊C4—71no—
746C4×C22⋊C4—71no—
747C4×C22⋊C4—71no—
748C4×C22⋊C4—71no—
749C4×C22⋊C4—71no—
750C4×C22⋊C4—71no—
751C4×C22⋊C4—71no—
752C4×C22⋊C4—71no—
753C4×C22⋊C4—71no—
754C4×C22⋊C4—71no—
755C4×C22⋊C4—71no—
756C2×#95—71no—
757C2×#95—71no—
758C2×#95—71no—
759C2×#95C2×D711yescharacteristic, complemented
760C23×C7—21no—
761C23×C7—21no—
762C23×C7—21no—
763C23×C7—21no—
764C23×C7—21no—
765C23×C7—21no—
766C23×C7—21no—
767C23×C7—21no—
768C23×C7—21no—
769C23×C7—21no—
770C23×C7—21no—
771C23×C7—21no—
772C23×C7—21no—
773C23×C7—21no—
774C23×C7—21no—
775C23×C7—21no—
776C23×C7—21no—
777C23×C7—21no—
778C23×C7C2×#4112yes—
779C23×C7H(5,𝔽2)12yes—
780C23×C7H(5,𝔽2)12yes—
781C23×C7C2511yescharacteristic
782C22×D7—21no—
783C22×D7—21no—
784C22×D7—21no—
785C22×D7—21no—
786C22×D7—28no—
787C22×D7—21no—
788C22×D7—21no—
789C22×D7—21no—
790C22×D7—21no—
791C22×D7—21no—
792C22×D7—21no—
793C22×D7—28no—
794C22×D7—21no—
795C22×D7—21no—
796C22×D7—21no—
797C22×D7—21no—
798C22×D7—21no—
799C22×D7—21no—
800C22×D7—21no—
801C22×D7—44no—
802C22×D7—44no—
803C22×D7—44no—
804C22×D7—44no—
805C22×D7—44no—
806C22×D7—44no—
807C22×D7—44no—
808C22×D7—44no—
809C22×D7—82no—
810C22×D7—82no—
811C22×D7—82no—
812C22×D7—82no—
813C22×D7C2×#4112yes—
814C22×D7C2×#4112yes—
815C22×D7C2×#4112yes—
816C22×D7C2×#4112yes—
817C7×D4—44no—
818C7×D4—44no—
819C7×D4—82no—
820C2×C4×C7—21no—
821C2×C4×C7—21no—
822C2×C4×C7—21no—
823C2×C4×C7—21no—
824C2×C4×C7—21no—
825C2×C4×C7—21no—
826C2×C4×C7—21no—
827C2×C4×C7—21no—
828C2×C4×C7—21no—
829C2×C4×C7—21no—
830C2×C4×C7—21no—
831C2×C4×C7—21no—
832C2×C4×C7—21no—
833C2×C4×C7—21no—
834C2×C4×C7—21no—
835C2×C4×C7—21no—
836C2×C4×C7—21no—
837C2×C4×C7—21no—
838C2×C4×C7—21no—
839C2×C4×C7—21no—
840C2×C4×C7—21no—
841C2×C4×C7—21no—
842C2×C4×C7—21no—
843C2×C4×C7—21no—
844C2×C4×C7—21no—
845C2×C4×C7—21no—
846C2×C4×C7—21no—
847C2×C4×C7—21no—
848C2×C4×C7—21no—
849C2×C4×C7—21no—
850C2×C4×C7—21no—
851C2×C4×C7—21no—
852C2×C4×C7—21no—
853C2×C4×C7—21no—
854C2×C4×C7—44no—
855C2×C4×C7—44no—
856C2×C4×C7—44no—
857C2×C4×C7—82no—
858C2×C4×C7C2×#4112yes—
859C2×C4×C7C2×#4112yes—
860C22⋊D7—44no—
861C22⋊D7—44no—
862C22⋊D7—44no—
863C22⋊D7—44no—
864C22⋊D7—82no—
865C2×Dic7—28no—
866C2×Dic7—21no—
867C2×Dic7—21no—
868C2×Dic7—21no—
869C2×Dic7—21no—
870C2×Dic7—21no—
871C2×Dic7—21no—
872C2×Dic7—21no—
873C2×Dic7—21no—
874C2×Dic7—21no—
875C2×Dic7—21no—
876C2×Dic7—21no—
877C2×Dic7—21no—
878C2×Dic7—21no—
879C2×Dic7—21no—
880C2×Dic7—21no—
881C2×Dic7—21no—
882C2×Dic7—21no—
883C2×Dic7—21no—
884C2×Dic7—21no—
885C2×Dic7—21no—
886C2×Dic7—21no—
887C2×Dic7—21no—
888C2×Dic7—21no—
889C2×Dic7—21no—
890C2×Dic7—21no—
891C2×Dic7—21no—
892C2×Dic7—21no—
893C2×Dic7—21no—
894C2×Dic7—21no—
895C2×Dic7—21no—
896C2×Dic7—21no—
897C2×Dic7—21no—
898C2×Dic7—21no—
899C2×Dic7—21no—
900C2×Dic7—21no—
901C2×Dic7—21no—
902C2×Dic7—44no—
903C2×Dic7—44no—
904C2×Dic7C2×#4112yes—
905C2×Dic7C2×#4112yes—
906C2×Dic7H(5,𝔽2)12yes—
907D28—44no—
908C4×D7—44no—
909C4×D7—44no—
910C4×D7—44no—
911C4×D7—44no—
912C4×D7—44no—
913C4×D7—82no—
914C4×D7—82no—
915Dic14—82no—
916C25—71no—
917C25—71no—
918C22×Q8—71no—
919C22×D4—71no—
920C22×D4—71no—
921C22×D4—71no—
922C22×D4—71no—
923C22×D4—71no—
924C22×D4—71no—
925C22×D4—144no—
926C22×D4—282no—
927C22×D4—282no—
928C22×D4C22×D711yescharacteristic
929C22×D4C22×D711yescharacteristic
930C22×D4C22×D711yescharacteristic
931C23×C4—71no—
932C23×C4—71no—
933C23×C4—71no—
934C23×C4—71no—
935C23×C4—71no—
936C23×C4—71no—
937C23×C4—71no—
938C23×C4—71no—
939C23×C4—71no—
940C23×C4—71no—
941C23×C4—144no—
942C23×C4—282no—
943C23×C4—282no—
944C23×C4C22×D711yescharacteristic
945C23×C4C22×D711yescharacteristic
946C23×C4C22×D711yescharacteristic
947C23×C4C22×D711yescharacteristic
948#126—282no—
949#124—282no—
950#123—282no—
951#123—282no—
952#123—282no—
953C22⋊Q8—144no—
954C22⋊Q8—282no—
955#121—42no—
956#121—282no—
957#120—144no—
958#120—144no—
959C4×D4—42no—
960C4×D4—144no—
961C4×D4—282no—
962C2×C4⋊C4—71no—
963C2×C4⋊C4—71no—
964C2×C4⋊C4—71no—
965C2×C4⋊C4—71no—
966C2×C4⋊C4—71no—
967C2×C4⋊C4—71no—
968C2×C4⋊C4—71no—
969C2×C4⋊C4—71no—
970C2×C4⋊C4—71no—
971C2×C4⋊C4—71no—
972C2×C4⋊C4—71no—
973C2×C4⋊C4—71no—
974C2×C4⋊C4—71no—
975C2×C4⋊C4—71no—
976C2×C4⋊C4—71no—
977C2×C4⋊C4—71no—
978C2×C4⋊C4—71no—
979C2×C4⋊C4—71no—
980C2×C4⋊C4C22×D711yescharacteristic
981C2×C4⋊C4C22×D711yescharacteristic
982C2×C4⋊C4C22×D711yescharacteristic
983C2×C4⋊C4C22×D711yescharacteristic
984C2×C22⋊C4—71no—
985C2×C22⋊C4—71no—
986C2×C22⋊C4—71no—
987C2×C22⋊C4—71no—
988C2×C22⋊C4—71no—
989C2×C22⋊C4—71no—
990C2×C22⋊C4—71no—
991C2×C22⋊C4—71no—
992C2×C22⋊C4—71no—
993C2×C22⋊C4—71no—
994C2×C22⋊C4—71no—
995C2×C22⋊C4—71no—
996C2×C22⋊C4—71no—
997C2×C22⋊C4—71no—
998C2×C22⋊C4—71no—
999C2×C22⋊C4—71no—
1000C2×C22⋊C4—71no—
1001C2×C22⋊C4—71no—
1002C2×C22⋊C4—71no—
1003C2×C22⋊C4—71no—
1004C2×C22⋊C4—71no—
1005C2×C22⋊C4—71no—
1006C2×C22⋊C4—71no—
1007C2×C22⋊C4—71no—
1008C2×C22⋊C4—71no—
1009C2×C22⋊C4—71no—
1010C2×C22⋊C4—71no—
1011C2×C22⋊C4—71no—
1012C2×C22⋊C4—71no—
1013C2×C22⋊C4—71no—
1014C2×C22⋊C4—71no—
1015C2×C22⋊C4—71no—
1016C2×C22⋊C4—71no—
1017C2×C22⋊C4—71no—
1018C2×C22⋊C4—71no—
1019C2×C22⋊C4—71no—
1020C2×C22⋊C4—71no—
1021C2×C22⋊C4—71no—
1022C2×C22⋊C4—71no—
1023C2×C22⋊C4—71no—
1024C2×C22⋊C4—71no—
1025C2×C22⋊C4—144no—
1026C2×C22⋊C4—144no—
1027C2×C22⋊C4—144no—
1028C2×C22⋊C4—282no—
1029C2×C22⋊C4—282no—
1030C2×C22⋊C4C22×D711yescharacteristic
1031C2×C22⋊C4C22×D711yescharacteristic
1032C2×C22⋊C4C22×D711yescharacteristic
1033C2×C22⋊C4C22×D711yescharacteristic
1034C2×C22⋊C4C22×D711yescharacteristic
1035C2×C22⋊C4C22×D711yescharacteristic
1036C2×C22⋊C4C22×D711yescharacteristic
1037C2×C22⋊C4C22×D711yescharacteristic
1038C2×C22⋊C4C22×D711yescharacteristic
1039C2×C22⋊C4C22×D711yescharacteristic
1040C2×C22⋊C4C22×D711yescharacteristic
1041C2×C42—71no—
1042C2×C42—71no—
1043C2×C42—71no—
1044C2×C42—71no—
1045C2×C42—71no—
1046C2×C42—71no—
1047C2×C42—71no—
1048C2×C42—71no—
1049C2×C42—71no—
1050C2×C42—71no—
1051C2×C42—282no—
1052C2×C42—282no—
1053C2×C42C22×D711yescharacteristic
1054#95—71no—
1055#95—71no—
1056#95—71no—
1057#95—71no—
1058#95—71no—
1059#95—71no—
1060#95—71no—
1061#95—71no—
1062#95—71no—
1063#95—71no—
1064#95—71no—
1065#95—71no—
1066#95—71no—
1067#95—71no—
1068#95—71no—
1069#95—71no—
1070#95—71no—
1071#95—71no—
1072#95—71no—
1073#95—71no—
1074#95—71no—
1075#95—71no—
1076#95—71no—
1077#95—71no—
1078#95—71no—
1079#95—71no—
1080#95—71no—
1081#95—71no—
1082#95—71no—
1083#95—71no—
1084#95—71no—
1085#95—71no—
1086#95C22×D711yescharacteristic
1087#95C22×D711yescharacteristic
1088#95C22×D711yescharacteristic
1089#95C22×D711yescharacteristic
1090#95C22×D711yescharacteristic
1091#95C22×D711yescharacteristic
1092#95C22×D711yescharacteristic
1093#95C22×D711yescharacteristic
1094#95C22×D711yescharacteristic
1095#95C22×D711yescharacteristic
1096#95C22×D711yescharacteristic
1097#95C22×D711yescharacteristic
1098C22×C7—22no—
1099C22×C7—22no—
1100C22×C7—22no—
1101C22×C7—22no—
1102C22×C7—22no—
1103C22×C7—22no—
1104C22×C7—41no—
1105C22×C7—41no—
1106C22×C7—41no—
1107C22×C7—41no—
1108C22×C7—41no—
1109C22×C7—41no—
1110C22×C7—41no—
1111C22×C7—41no—
1112C22×C7—41no—
1113C22×C7—41no—
1114C22×C7—41no—
1115C22×C7—41no—
1116C22×C7—41no—
1117C22×C7—41no—
1118C22×C7#53814yes—
1119C22×C7C22×#4111yescharacteristic
1120C22×C7C22×#4111yescharacteristic
1121C22×C7C22×#4111yescharacteristic
1122C22×C7C2×H(5,𝔽2)11yescharacteristic
1123C22×C7C2×H(5,𝔽2)11yescharacteristic
1124C22×C7C2×H(5,𝔽2)11yescharacteristic
1125C22×C7#58511yescharacteristic
1126C2×D7—22no—
1127C2×D7—22no—
1128C2×D7—22no—
1129C2×D7—22no—
1130C2×D7—22no—
1131C2×D7—22no—
1132C2×D7—22no—
1133C2×D7—22no—
1134C2×D7—22no—
1135C2×D7—416no—
1136C2×D7—41no—
1137C2×D7—41no—
1138C2×D7—41no—
1139C2×D7—41no—
1140C2×D7—41no—
1141C2×D7—41no—
1142C2×D7—41no—
1143C2×D7—41no—
1144C2×D7—41no—
1145C2×D7—41no—
1146C2×D7—41no—
1147C2×D7—88no—
1148C2×D7#52914yes—
1149C4×C7—22no—
1150C4×C7—22no—
1151C4×C7—41no—
1152C4×C7—41no—
1153C4×C7—41no—
1154C4×C7—41no—
1155C4×C7—41no—
1156C4×C7—41no—
1157C4×C7—41no—
1158C4×C7—41no—
1159C4×C7—41no—
1160C4×C7—41no—
1161Dic7—22no—
1162Dic7—22no—
1163Dic7—22no—
1164Dic7—41no—
1165Dic7—41no—
1166Dic7—41no—
1167Dic7—41no—
1168Dic7—41no—
1169Dic7—41no—
1170Dic7—41no—
1171Dic7—41no—
1172Dic7—41no—
1173Dic7—41no—
1174C24—71no—
1175C24—71no—
1176C24—74no—
1177C24—71no—
1178C24—142no—
1179C24—142no—
1180C24—142no—
1181C24—142no—
1182C24—142no—
1183C24—142no—
1184C24—142no—
1185C24—281no—
1186C24—281no—
1187C24—281no—
1188C24—281no—
1189C24—281no—
1190C24—281no—
1191C24C23×D711yescharacteristic
1192C24C23×D711yescharacteristic
1193C24C23×D711yescharacteristic
1194C2×Q8—142no—
1195C2×Q8—281no—
1196C2×Q8—281no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—142no—
1207C2×D4—142no—
1208C2×D4—142no—
1209C2×D4—142no—
1210C2×D4—142no—
1211C2×D4—142no—
1212C2×D4—142no—
1213C2×D4—142no—
1214C2×D4—142no—
1215C2×D4—142no—
1216C2×D4—281no—
1217C2×D4—281no—
1218C2×D4—281no—
1219C2×D4—281no—
1220C2×D4—281no—
1221C2×D4—281no—
1222C2×D4—281no—
1223C2×D4—281no—
1224C2×D4—2816no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—71no—
1238C22×C4—71no—
1239C22×C4—71no—
1240C22×C4—74no—
1241C22×C4—71no—
1242C22×C4—71no—
1243C22×C4—71no—
1244C22×C4—71no—
1245C22×C4—71no—
1246C22×C4—71no—
1247C22×C4—71no—
1248C22×C4—71no—
1249C22×C4—71no—
1250C22×C4—71no—
1251C22×C4—142no—
1252C22×C4—142no—
1253C22×C4—142no—
1254C22×C4—142no—
1255C22×C4—142no—
1256C22×C4—142no—
1257C22×C4—142no—
1258C22×C4—142no—
1259C22×C4—142no—
1260C22×C4—142no—
1261C22×C4—142no—
1262C22×C4—142no—
1263C22×C4—142no—
1264C22×C4—142no—
1265C22×C4—142no—
1266C22×C4—142no—
1267C22×C4—281no—
1268C22×C4—281no—
1269C22×C4—281no—
1270C22×C4—281no—
1271C22×C4—281no—
1272C22×C4—281no—
1273C22×C4—281no—
1274C22×C4—281no—
1275C22×C4—281no—
1276C22×C4—281no—
1277C22×C4—281no—
1278C22×C4—281no—
1279C22×C4—2816no—
1280C22×C4—281no—
1281C22×C4C23×D711yescharacteristic
1282C22×C4C23×D711yescharacteristic
1283C22×C4C23×D711yescharacteristic
1284C22×C4C23×D711yescharacteristic
1285C22×C4C23×D711yescharacteristic
1286C22×C4C23×D711yescharacteristic
1287C22×C4C23×D711yescharacteristic
1288C22×C4C23×D711yescharacteristic
1289C22×C4C23×D711yescharacteristic
1290C22×C4C23×D711yescharacteristic
1291C22×C4C23×D711yescharacteristic
1292C22×C4C23×D711yescharacteristic
1293C4⋊C4—22no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—142no—
1298C4⋊C4—142no—
1299C4⋊C4—142no—
1300C4⋊C4—142no—
1301C4⋊C4—281no—
1302C4⋊C4—281no—
1303C4⋊C4—281no—
1304C4⋊C4—281no—
1305C4⋊C4—281no—
1306C4⋊C4—281no—
1307C4⋊C4—281no—
1308C4⋊C4—281no—
1309C4⋊C4—281no—
1310C4⋊C4—281no—
1311C4⋊C4—281no—
1312C4⋊C4—281no—
1313C4⋊C4—281no—
1314C4⋊C4—281no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—74no—
1327C22⋊C4—142no—
1328C22⋊C4—142no—
1329C22⋊C4—142no—
1330C22⋊C4—142no—
1331C22⋊C4—142no—
1332C22⋊C4—142no—
1333C22⋊C4—142no—
1334C22⋊C4—142no—
1335C22⋊C4—142no—
1336C22⋊C4—142no—
1337C22⋊C4—142no—
1338C22⋊C4—142no—
1339C22⋊C4—142no—
1340C22⋊C4—142no—
1341C22⋊C4—142no—
1342C22⋊C4—142no—
1343C22⋊C4—142no—
1344C22⋊C4—142no—
1345C22⋊C4—142no—
1346C22⋊C4—142no—
1347C22⋊C4—142no—
1348C22⋊C4—142no—
1349C22⋊C4—142no—
1350C22⋊C4—281no—
1351C22⋊C4—281no—
1352C22⋊C4—281no—
1353C22⋊C4—281no—
1354C22⋊C4—281no—
1355C22⋊C4—281no—
1356C22⋊C4—281no—
1357C22⋊C4—281no—
1358C22⋊C4—281no—
1359C22⋊C4—281no—
1360C22⋊C4—281no—
1361C22⋊C4—281no—
1362C22⋊C4—281no—
1363C22⋊C4—281no—
1364C22⋊C4—281no—
1365C22⋊C4—281no—
1366C22⋊C4—281no—
1367C42—41no—
1368C42—142no—
1369C42—142no—
1370C42—142no—
1371C42—281no—
1372C42—281no—
1373C42—281no—
1374C42—281no—
1375C42—281no—
1376C42—281no—
1377C42—281no—
1378C2×C7—24no—
1379C2×C7—81no—
1380C2×C7—81no—
1381C2×C7C2×#52911yescharacteristic
1382C2×C7C2×#53811yescharacteristic
1383C2×C7#345911yescharacteristic
1384C2×C7#349011yescharacteristic
1385C2×C7#349411yescharacteristic
1386C2×C7#351311yescharacteristic
1387C2×C7#351911yescharacteristic
1388D7—24no—
1389D7—42no—
1390D7—81no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—72no—
1410C23—72no—
1411C23—72no—
1412C23—72no—
1413C23—148no—
1414C23—141no—
1415C23—141no—
1416C23—141no—
1417C23—141no—
1418C23—148no—
1419C23—141no—
1420C23—141no—
1421C23—141no—
1422C23—141no—
1423C23—141no—
1424C23—141no—
1425C23—141no—
1426C23—141no—
1427C23—141no—
1428C23—141no—
1429C23—141no—
1430C23—141no—
1431C23—141no—
1432C23—284no—
1433C23—284no—
1434C23—284no—
1435C23—284no—
1436C23—284no—
1437C23—284no—
1438C23—284no—
1439C23—284no—
1440C23—562no—
1441C23—562no—
1442C23—562no—
1443C23—562no—
1444C23#654812yes—
1445C23D7×#4112yes—
1446C23#655312yes—
1447C23C24×D711yescharacteristic
1448Q8—562no—
1449D4—44no—
1450D4—44no—
1451D4—82no—
1452D4—284no—
1453D4—284no—
1454D4—284no—
1455D4—284no—
1456D4—284no—
1457D4—562no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—72no—
1496C2×C4—72no—
1497C2×C4—72no—
1498C2×C4—82no—
1499C2×C4—148no—
1500C2×C4—141no—
1501C2×C4—141no—
1502C2×C4—141no—
1503C2×C4—141no—
1504C2×C4—141no—
1505C2×C4—141no—
1506C2×C4—141no—
1507C2×C4—141no—
1508C2×C4—141no—
1509C2×C4—141no—
1510C2×C4—141no—
1511C2×C4—141no—
1512C2×C4—141no—
1513C2×C4—141no—
1514C2×C4—141no—
1515C2×C4—141no—
1516C2×C4—141no—
1517C2×C4—141no—
1518C2×C4—141no—
1519C2×C4—141no—
1520C2×C4—141no—
1521C2×C4—141no—
1522C2×C4—141no—
1523C2×C4—141no—
1524C2×C4—141no—
1525C2×C4—141no—
1526C2×C4—141no—
1527C2×C4—141no—
1528C2×C4—141no—
1529C2×C4—141no—
1530C2×C4—141no—
1531C2×C4—141no—
1532C2×C4—141no—
1533C2×C4—141no—
1534C2×C4—141no—
1535C2×C4—141no—
1536C2×C4—284no—
1537C2×C4—284no—
1538C2×C4—284no—
1539C2×C4—284no—
1540C2×C4—284no—
1541C2×C4—284no—
1542C2×C4—284no—
1543C2×C4—562no—
1544C2×C4—562no—
1545C2×C4D7×#4112yes—
1546C2×C4D7×#4112yes—
1547C7#3499811yescharacteristic, complemented, Sylow
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—74no—
1569C22—142no—
1570C22—142no—
1571C22—142no—
1572C22—142no—
1573C22—142no—
1574C22—142no—
1575C22—142no—
1576C22—142no—
1577C22—142no—
1578C22—2816no—
1579C22—281no—
1580C22—281no—
1581C22—281no—
1582C22—281no—
1583C22—281no—
1584C22—281no—
1585C22—281no—
1586C22—281no—
1587C22—281no—
1588C22—281no—
1589C22—281no—
1590C22—568no—
1591C22#9034814yes—
1592C22C2×#654811yescharacteristic
1593C22C2×D7×#4111yescharacteristic
1594C22C2×D7×#4111yescharacteristic
1595C22C2×D7×#4111yescharacteristic
1596C22C2×#655311yescharacteristic
1597C22D7×H(5,𝔽2)11yescharacteristic
1598C22#9061811yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—142no—
1612C4—142no—
1613C4—142no—
1614C4—281no—
1615C4—281no—
1616C4—281no—
1617C4—281no—
1618C4—281no—
1619C4—281no—
1620C4—281no—
1621C4—281no—
1622C4—281no—
1623C4—281no—
1624C2—24no—
1625C2—81no—
1626C2—81no—
1627C2—144no—
1628C2—282no—
1629C2—561no—
1630C2C2×#9034811yescharacteristic
1631C2D7×#52911yescharacteristic
1632C2#1174345611yescharacteristic
1633C2#1174370311yescharacteristic
1634C2#1174373211yescharacteristic
1635C2#1174394511yescharacteristic
1636C2#1174395611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2444C2
prime radical#11740147C2
hypercenter#2444D7
hypocenterC7#34998
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2444

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C7×#2444C2semidirect
3. #11740144C2semidirect
4. C4×#6500C2semidirect
5. #11739800C2semidirect
6. #11735798C2semidirect
7. #11735663C2semidirect
8. #11735125C2semidirect
9. #11735006C2semidirect
10. #11734995C2semidirect
11. #11734925C2semidirect
12. #11734431C2semidirect
13. #11734370C2semidirect
14. #11733270C2semidirect
15. #11733005C2semidirect
16. #11732745C2semidirect
17. #11732481C2semidirect
18. #11732321C2semidirect
19. D7×#386C2semidirect
20. #11732315C2semidirect
21. #11732314C2semidirect
22. #11732184C2semidirect
23. #11732167C2semidirect
24. #11732135C2semidirect
25. #11732131C2semidirect
26. #11732033C2semidirect
27. #11731858C2semidirect
28. #11731565C2semidirect
29. #11731515C2semidirect
30. #11730801C2semidirect
31. C2×#89438C2semidirect
35. C2×C4×C7×D4C22semidirect
40. C2×#6498C22semidirect
42. C2×C4×C22⋊D7C22semidirect
45. C22×C4×Dic7C22semidirect
46. C22×C4×Dic7C22semidirect
49. C2×#6448C22semidirect
53. C2×#6442C22semidirect
54. C2×#6441C22semidirect
55. C7×#400C22semidirect
56. C7×#397C22semidirect
57. C7×#397C22semidirect
58. C7×#394C22semidirect
59. C7×#388C22semidirect
60. C7×#387C22semidirect
63. C7×#386C22semidirect
64. C7×#386C22semidirect
65. C7×#385C22semidirect
66. C7×#381C22semidirect
67. C2×C7×#95C22semidirect
69. #89993C22semidirect
70. #89993C22semidirect
73. #89992C22semidirect
77. #89985C22semidirect
78. #89984C22semidirect
79. #89984C22semidirect
80. #89982C22semidirect
81. C4×C22⋊Dic7C22semidirect
82. C2×C7⋊#95C22semidirect
83. #89766C22semidirect
84. #89766C22semidirect
85. #89766C22semidirect
87. #89762C22semidirect
88. #89762C22semidirect
91. #89761C22semidirect
93. #89755C22semidirect
94. #89753C22semidirect
95. #89753C22semidirect
96. #89745C22semidirect
97. #89745C22semidirect
100. #89733C22semidirect
103. #89731C22semidirect
104. #89731C22semidirect
106. #89729C22semidirect
113. #89728C22semidirect
118. #89725C22semidirect
119. #89724C22semidirect
120. #89723C22semidirect
121. #89723C22semidirect
122. #89723C22semidirect
123. #89722C22semidirect
124. #89719C22semidirect
125. #89718C22semidirect
126. #89717C22semidirect
127. #89716C22semidirect
128. #89716C22semidirect
129. #89716C22semidirect
130. #89716C22semidirect
131. #89716C22semidirect
132. #89716C22semidirect
133. #89716C22semidirect
134. #89715C22semidirect
135. #89712C22semidirect
137. C4×(C2×D7)⋊C4C22semidirect
138. #89700C22semidirect
139. #89449C22semidirect
140. #89447C22semidirect
141. #89447C22semidirect
142. #89447C22semidirect
143. #89446C22semidirect
144. #89445C22semidirect
147. #89442C22semidirect
148. #89442C22semidirect
149. #89441C22semidirect
150. #89441C22semidirect
151. #89441C22semidirect
152. #89441C22semidirect
163. #89438C22semidirect
164. #89438C22semidirect
165. #89438C22semidirect
166. #89438C22semidirect
171. C7⋊#401C22semidirect
172. #89432C22semidirect
173. #89432C22semidirect
174. #89430C22semidirect
175. #89427C22semidirect
176. #89427C22semidirect
177. #89427C22semidirect
178. #89426C22semidirect
179. #89425C22semidirect
180. #89424C22semidirect
181. #89423C22semidirect
182. #89423C22semidirect
183. #89422C22semidirect
184. #89422C22semidirect
185. #89418C22semidirect
186. #89418C22semidirect
388. #2444D7semidirect
620. C2×C4×D4C2×D7semidirect
632. #400C2×D7semidirect
641. #397C2×D7semidirect
642. #397C2×D7semidirect
655. #394C2×D7semidirect
688. #388C2×D7semidirect
697. #387C2×D7semidirect
717. #386C2×D7semidirect
718. #386C2×D7semidirect
729. #385C2×D7semidirect
735. #381C2×D7semidirect
759. C2×#95C2×D7semidirect
1547. C7#34998semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C7×#24442
#117401472
#117401442
C4×#65002
#117398002
#117357982
#117356632
#117351252
#117350062
#117349952
#117349252
#117344312
#117343702
#117332702
#117330052
#117327452
#117324812
#117323212
D7×#3862
#117323152
#117323142
#117321842
#117321672
#117321352
#117321312
#117320332
#117318582
#117315652
#117315152
#117308012
C2×#894382
#349987